Answer:
x = 8
Step-by-step explanation:
For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:
(7 + x)(12) = (10)(2x + 2)
You can simplify and solve:
84 + 12x = 20x + 20
84 = 8x + 20
64 = 8x
x = 8
13/8 = 1 5/8
Since 13/8 = 1 5/8, A and B cannot be correct.
5/8 > 1/2
Since 5/8 > 1/2, 13/8 is closer to 2 than to 1. Therefore, the answer is D. closer to 2 than to 1.
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
It already is in the simplest form. 4 and 9 have no common factors so there is nothing you can put into it to make it simpler
